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Simplifying 52x3 + 122x2 + 66x = 0 Reorder the terms: 66x + 122x2 + 52x3 = 0 Solving 66x + 122x2 + 52x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(33 + 61x + 26x2) = 0 Factor a trinomial. 2x((3 + 2x)(11 + 13x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Subproblem 3
Set the factor '(11 + 13x)' equal to zero and attempt to solve: Simplifying 11 + 13x = 0 Solving 11 + 13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 13x = 0 + -11 13x = 0 + -11 Combine like terms: 0 + -11 = -11 13x = -11 Divide each side by '13'. x = -0.8461538462 Simplifying x = -0.8461538462Solution
x = {0, -1.5, -0.8461538462}
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